Abstract | ||
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Functions of mathematical physics such as the Bessel functions, the Chebyshev polynomials, the Gauss hypergeometric function and so forth, have practical applications in many scientific domains. On the one hand, differentiation formulas provided in reference books apply to real or complex variables. These do not account for the chain rule. On the other hand, based on the chain rule, the automatic differentiation has become a natural tool in numerical modeling. Nevertheless automatic differentiation tools do not deal with the numerous mathematical functions. |
Year | DOI | Venue |
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2015 | 10.1016/j.cpc.2014.12.010 | Computer Physics Communications |
Keywords | Field | DocType |
Higher-order derivatives,Mathematical functions,Automatic differentiation,Operator overloading | Chebyshev polynomials,Differential equation,Operator overloading,Function (mathematics),Mathematical analysis,Computer science,Chain rule,Automatic differentiation,Complex variables,Bessel function | Journal |
Volume | ISSN | Citations |
189 | 0010-4655 | 2 |
PageRank | References | Authors |
0.41 | 4 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Isabelle Charpentier | 1 | 5 | 1.56 |
Claude Dal Cappello | 2 | 2 | 0.41 |